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20454785100 = 223252671272671
BaseRepresentation
bin10011000011001100…
…110100000001001100
31221210112021202010100
4103003030310001030
5313342411110400
613221413011100
71322613542661
oct230314640114
957715252110
1020454785100
118747213882
123b6a323a90
131c0c98b649
14dc086ba68
157eab52100
hex4c333404c

20454785100 has 216 divisors, whose sum is σ = 65608245248. Its totient is φ = 5328892800.

The previous prime is 20454785051. The next prime is 20454785119. The reversal of 20454785100 is 158745402.

20454785100 is a `hidden beast` number, since 2 + 0 + 4 + 547 + 8 + 5 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7656765 + ... + 7659435.

Almost surely, 220454785100 is an apocalyptic number.

20454785100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20454785100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32804122624).

20454785100 is an abundant number, since it is smaller than the sum of its proper divisors (45153460148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20454785100 is a wasteful number, since it uses less digits than its factorization.

20454785100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20454785100 in words is "twenty billion, four hundred fifty-four million, seven hundred eighty-five thousand, one hundred".